An n-sided regular polygon’s sides all have the same length and all of its angles have the same degree (i.e., the polygon is both equilateral and equiangular). Design a class named RegularPolygon thatcontains:■ A private int data field named n that defines the number of sides in the polygon.■ A private float data field named side that stores the length of the side.■ A private float data field named x that defines the x-coordinate of the center of the polygon with default value 0. ■ A private float data field named y that defines the y-coordinate of the center of the polygon with default value 0.■ A constructor that creates a regular polygon with the specified n (default 3),side (default 1), x (default 0), and y (default 0).■ The accessor and mutator methods for all data fields.■ The method getPerimeter() that returns the perimeter of the polygon.■ The method getArea() that returns the area of the polygon. The formula for computing the area of a regular polygon is Area = (n * s2) / (4 * tan ( π/n )) Draw the UML diagram for the class, and then implement the class. Write a test program that creates three RegularPolygon objects, created using RegularPolygon(), using RegularPolygon(6, 4) and RegularPolygon(10, 4, 5.6, 7.8). For each object, display its perimeter and area.

Microsoft Visual C#
7th Edition
ISBN:9781337102100
Author:Joyce, Farrell.
Publisher:Joyce, Farrell.
Chapter10: Introduction To Inheritance
Section: Chapter Questions
Problem 7RQ
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An n-sided regular polygon’s sides all have the same length and all of its angles have the same degree (i.e., the polygon is both equilateral and equiangular). Design a class named RegularPolygon that
contains:
■ A private int data field named n that defines the number of sides in the polygon.
■ A private float data field named side that stores the length of the side.
■ A private float data field named x that defines the x-coordinate of the center of the polygon with default value 0.

■ A private float data field named y that defines the y-coordinate of the center of the polygon with default value 0.
■ A constructor that creates a regular polygon with the specified n (default 3),side (default 1), x (default 0), and y (default 0).
■ The accessor and mutator methods for all data fields.
■ The method getPerimeter() that returns the perimeter of the polygon.
■ The method getArea() that returns the area of the polygon. The formula for computing the area of a regular polygon is Area = (n * s2) / (4 * tan ( π/n ))

Draw the UML diagram for the class, and then implement the class. Write a test program that creates three RegularPolygon objects, created using RegularPolygon(), using RegularPolygon(6, 4) and RegularPolygon(10, 4, 5.6, 7.8). For each object, display its perimeter and area.

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